# Question

Let

be a random sum of discrete IID random variables. Further, let HN (z) and HX (z) be the probability- generating functions of N and X, respectively. Find the probability- generating function of S assuming that N is independent of the X.

be a random sum of discrete IID random variables. Further, let HN (z) and HX (z) be the probability- generating functions of N and X, respectively. Find the probability- generating function of S assuming that N is independent of the X.

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